Details

Time bar (total: 7.8s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample165.0ms

Algorithm
intervals
Results
105.0ms110×body1280valid
37.0ms83×body640valid
8.0ms33×body320valid
4.0ms256×pre80true
3.0ms21×body160valid
1.0ms9×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
052579

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
7.2b
(log.f64 (-.f64 1.0 x))
7.3b
(log.f64 (+.f64 1.0 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
17×add-sqr-sqrt_binary64
16×times-frac_binary64
15×pow1_binary64 add-cube-cbrt_binary64
12×log-pow_binary64
9×log-prod_binary64
7×add-exp-log_binary64
6×log-div_binary64
5×add-cbrt-cube_binary64
4×associate-/r*_binary64 associate-/l*_binary64
3×add-log-exp_binary64
2×flip3--_binary64 rem-log-exp_binary64 div-sub_binary64 flip--_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
3 → 69
Calls
3 calls:
6.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
4.0ms
(log.f64 (-.f64 1.0 x))
4.0ms
(log.f64 (+.f64 1.0 x))

series25.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
3.0ms
(log.f64 (-.f64 1.0 x))
6.0ms
(log.f64 (+.f64 1.0 x))

simplify60.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049591004
149591004

prune103.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New70878
Fresh000
Picked101
Done000
Total71879

Merged error: 59.1b

Counts
79 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
7.2b
(log.f64 (-.f64 1.0 x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log_binary64
23×add-cbrt-cube_binary64
20×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
14×times-frac_binary64
10×pow1_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
5×associate-*r*_binary64 log-prod_binary64 cbrt-undiv_binary64 log-pow_binary64 div-exp_binary64
4×associate-/r/_binary64 associate-/l*_binary64 log-div_binary64
3×associate-/r*_binary64 add-log-exp_binary64 flip3--_binary64 associate-*r/_binary64 associate-*l*_binary64 flip--_binary64
2×unswap-sqr_binary64 div-sub_binary64 div-inv_binary64 frac-sub_binary64
1×pow-prod-down_binary64 flip3-+_binary64 rem-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip-+_binary64 *-commutative_binary64
Counts
3 → 83
Calls
3 calls:
9.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
13.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
4.0ms
(log.f64 (-.f64 1.0 x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
12.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
4.0ms
(log.f64 (-.f64 1.0 x))

simplify64.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049691786
149691786

prune118.0ms

Filtered
64 candidates to 92 candidates (-43.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh527
Picked101
Done000
Total973100

Merged error: 0.0b

Counts
100 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))
0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log_binary64 add-cbrt-cube_binary64
33×add-sqr-sqrt_binary64
31×*-un-lft-identity_binary64
22×times-frac_binary64
19×add-cube-cbrt_binary64
18×cbrt-unprod_binary64 prod-exp_binary64
12×pow1_binary64
10×associate-*r*_binary64
9×cbrt-undiv_binary64 div-exp_binary64
8×distribute-lft-out--_binary64
6×add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64
4×associate-*r/_binary64 log-pow_binary64 associate-/r/_binary64 unswap-sqr_binary64 difference-of-squares_binary64
3×associate-/r*_binary64 div-inv_binary64
2×pow-prod-down_binary64 flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64 *-commutative_binary64
1×div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 117
Calls
4 calls:
5.0ms
(+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))
10.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
9.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
17.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
10.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
052603011

prune200.0ms

Filtered
82 candidates to 129 candidates (-57.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh022
Picked011
Done000
Total1275132

Merged error: 0.0b

Counts
132 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))))
0.7b
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
0.7b
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
0.7b
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×flip3-+_binary64 pow1/3_binary64 flip-+_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 87
Calls
4 calls:
14.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))))
5.0ms
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
5.0ms
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
5.0ms
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))))
12.0ms
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
12.0ms
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
12.0ms
(cbrt.f64 (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049562575
149562575

prune290.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh033
Picked011
Done011
Total986104

Merged error: 0b

Counts
104 → 6

regimes42.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08733
18733

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3419×body1280valid
1.1s2493×body640valid
282.0ms1210×body320valid
146.0ms8000×pre80true
87.0ms646×body160valid
14.0ms232×body80valid

Profiling

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